Constraint on the CKM angle alpha from the experimental measurements of CP violation in B_d^0 --> pi^+ pi^- decay

Abstract

In this paper, we study and try to find the constraint on the CKM angle alpha from the experimental measurements of CP violation in B_d^0 --> pi^+ pi^- decay, as reported very recently by BaBar and Belle Collaborations. After considering uncertainties of the data and the ratio r of penguin over tree amplitude, we found that strong constraint on both the CKM angle alpha and the strong phase delta can be obtained from the measured CP asymmetries S_{pi pi} and A_{pi pi}: (a) the ranges of 87 degrees <= alpha <= 131 degrees and 36 degrees <= delta <= 144 degrees are allowed by 1 sigma of the averaged data for r = 0.31; (b) for Belle's result alone, the limits on alpha and delta are 104 degrees <= alpha <= 139 degrees and 42 degrees <= delta <= 138 degrees for 0.32 <= r <= 0.41; and (c) the angle alpha larger than 90 degrees is preferred.

Revtex, 17 pages with 6 ps/eps figure files, new Babar data Reported at ICHEP 2002 considered

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• Study of CP-Violating Asymmetries in B0 -> pi+pi- Decays
• Study of CP-violating asymmetries in B^0 --> pi^+pi^-, K^+pi^- decays
• Extraction of the CKM angle $\gamma$ from the new "mixed " system of $B^{+}\to {\pi }^{+}{K}^0$ and $B_d^0\to {\pi }^0{K}^0$ decays

Cited by in corpus (8)

• A Possibility of large electro-weak penguin contribution in B -> K pi modes
• Large electroweak penguin contribution in B -> K pi and pi pi decay modes
• Implications of CP Asymmetries in $B\to {\pi }^{+}{\pi }^{-}$
• Unitarity Triangles and the Search for New Physics
• Model Independent Bound on the Unitarity Triangle from CP Violation in B-> pi+ pi- and B-> psi K_S
• CP Violation in B -> pi+ pi- and the Unitarity Triangle
• What can we learn from phi_1 and B_d^0 -> pi^+ pi^- ?
• Constrain the UT angle $\gamma$ by CP violation parameters in $B^0\to {\pi }^{+}{\pi }^{-}$